I would just get a new RP2040 Tiny for the OLED, and not bother uninstalling from the Lite. Unless it's broken and already being harvested for parts... nah, probably not even then.
The Picofly firmware is the same for all current Switch models, it's easy to flash before install. A working install can also be updated afterwards with the Picofly Toolbox.
Be warned the DAT0 point on the OLEDs is much, much more difficult to reach, keep that in mind. If unsure, find a reliable installer who can do the "Kamikaze" or "interposer PCB" methods.